Anthony Pisani (PDF)

Education

PhD in Mathematics

📆 – 🏫 Monash University
  • Supervisors: Dr. Melissa Lee, Prof. Heiko Dietrich
  • Thesis Title: Effective Computation in Groups Isomorphic to Quasisimple Groups
  • To date, review of the theory of classical groups and their maximal subgroups. Current notes 40 pages.

B.Sc. Advanced - Research (Hons.)

📆 – 🏫 Monash University
  • Ext. Major in Pure Mathematics, Minor in Mathematics
  • WAM 93.569, GPA 3.969, and First-Class Honours

Research Projects

Research Fellowship

📆 – 🏫 Monash University

Honours Project

📆 – 🏫 Monash University
  • Supervised by Dr. Melissa Lee and Prof. Heiko Dietrich.
  • Resulted in a paper.

Undergraduate Unit

📆 – 🏫 Monash University

Selected Awards

Pure Mathematics Prize

📆 🏫 Monash University

For the highest-scoring pure mathematics Honours student.

Ivy May Frary Math. Sci. Honours Scholarship

📆 🏫 Monash University

Awarded to the best Mathematical Sciences Honours student at Monash University.

Gordon Preston Pure Mathematics Honours Award

📆 🏫 Monash University

School of Mathematics award for best entering full-time pure mathematics Honours student.

Dean's Honours List

📆 – 🏫 Monash University

For the top 20 students each year in the Faculty of Science.

Research interests

  • Group theory (simple groups, permutation groups)
  • Computational algebra

Programming

  • Significant experience in LaTeX, Python, and Unix shell scripting.
  • Familiar with HTML, CSS, and JavaScript.
  • Limited experience with GAP.

Publications

  1. M. Lee and A. Pisani. The Saxl hypergraph of a permutation group. Preprint (), arXiV: 2505.13849.
  2. A. Pisani. Computing the character table of a 2-local maximal subgroup of the Monster. Preprint (), arXiv: 2503.15857.
  3. H Dietrich, M. Lee, A. Pisani, and T. Popiel. Explicit construction of the maximal subgroups of the Monster. Preprint (), arXiv: 2411.12230.
  4. A. Pisani and T. Popiel. Conjugacy class fusion from four maximal subgroups of the Monster. J. Computational Algebra 11 () 100021.

Talks & Seminars

“The Saxl hypergraph of a permutation group” at the meeting of the AustMS (Forthcoming)
“Computing the Character Table of a 2-local Maximal Subgroup of the Monster” at the Australian Algebra Conference (Forthcoming)
“The Maximal Subgroups of the Monster Group” at the Australian Algebra Conference
Presented lecture on Burnside's paqb Theorem (Student Presentation)
“Computational Constructions of Some Maximal Subgroups of the Monster Group” (Student Presentation)

Other Activities

– Partook in Simon Marais Mathematics Competition (Top 10% –, ; Top 20% )
Participated in AMSI Summer School
Anthony Pisani